Question

Some help on Binomial theorem, Please.

Answer 1

@zepdrix @jim_thompson5910 @satellite73

Answer 2

need help for four questions kindly.

Answer 3

@amistre64 @satellite73

Answer 4

anybody?

Answer 5

for question 2.

2^n = (1+1)^n ... then use binomial theorem

Answer 6

Thank you. For the other questions please.

Answer 7

So when I see this, I think of z as a complex number on the unit circle.

Answer 8

z=x+iy?

Answer 9

But that may be irrelevant. The point in (1) is just that the number of individual terms you develop when you first multiply the expansion corresponds to the number of terms that comprise each of the final sums for each polynomial term.

Answer 10

for question 3.
0= 0^n = (1-1)^n

Answer 11

So if you were to try and multiply the first polynomial by the second, you'd have the coefficient of each term correspond to the number of ways you can roll a sum of that power.

I think you can do an inductive proof for both 2 and 3.

Answer 12

For (4) you can just start talking about the first (two) and last terms of a binomial expansion and what they look like.

Answer 13

sorry i had some net issues.

Answer 14

i do not get what u told. Can u be a bit more clear on it.